Math Problem Statement

Consider the given data set.

n = 12

 measurements: 7, 6, 1, 5, 7, 7, 5, 4, 8, 5, 2, 0

Find the mean.

Find the standard deviation. (Round your answer to four decimal places.)

Find the z-score corresponding to the minimum in the data set. (Round your answer to two decimal places.)

z = 

Find the z-score corresponding to the maximum in the data set. (Round your answer to two decimal places.)

z = 

Do the z-scores indicate that there are possible outliers in the data set?

Since both z-scores exceed 2 in absolute value, both of the observations are unusual.Since neither z-score exceeds 2 in absolute value, none of the observations are unusually small or large.    Since the z-score for the smaller observation is larger than 2 in absolute value, the smaller value is unusually small.Since the z-score for the larger observation is larger than 2 in absolute value, the larger value is unusually large.

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Descriptive Statistics
Z-score

Formulas

Mean formula: (Σx)/n
Standard Deviation formula: sqrt[(Σ(x - mean)^2) / n]
Z-score formula: (x - mean) / standard deviation

Theorems

Empirical Rule for Normal Distribution

Suitable Grade Level

Grades 9-12